Fundamental Solutions of the Cauchy Problem for Invariant Λ(µ)-Hyperbolic Operators on Riemannian Manifolds

Abstract

We obtain an analytic representation of a fundamental solution of the Cauchy problem for Petrovskii strictly hyperbolic Λ (μ) -invariant hyperbolic equations and systems of equations in Euclidean spaces and on special Riemann manifolds on the basis of the introduced integral transformations generated by an integral representation of the Dirac measure.